- #1
allanmulin
- 6
- 0
Let A, B, C, D be matrices such that:
AB + CD = 0
and
B is invertible. Moreover, consider the dimension restrictions:
A(m x n), B(n x n), C(m x m), D(m x n)
If C is a square matrix, is there a way to show that it is also invertible with only the above conditions?
AB + CD = 0
and
B is invertible. Moreover, consider the dimension restrictions:
A(m x n), B(n x n), C(m x m), D(m x n)
If C is a square matrix, is there a way to show that it is also invertible with only the above conditions?
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